Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately ?2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s2 = 2.9. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom?

Name: Let x = age in years of a rural Quebec woman at the time of her first
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Description: Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately ?2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec

From the provided information, Sample size (n) = 41 Sample variance (s2) = 2.9 Population variance…

Answered: Let x = age in years of a rural Quebec…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately ?² = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s² = 2.9. Use a 5% level of significance to test the claim that the current variance is less than 5.1.

Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.)

What are the degrees of freedom?

Expert Solution

Step 1

From the provided information,

Sample size (n) = 41

Sample variance (s²) = 2.9

Population variance (σ²) = 5.1

Step 2

The hypotheses can be constructed as:

H₀: σ² = 5.1

H₁: σ² < 5.1

Level of significance (α) = 0.05

The value of the test statistic can be obtained as:

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